Summability in topological spaces

Summability in topological spaces

The main purpose of the paper is to introduce the notion of summability in abstract Hausdorff topological spaces. We give a characterization of such summability methods when the space allows a countable base. We also provide several Tauberian theorems in topological structures. Some open problems ar...

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Veröffentlicht in:Applied mathematics letters 2011-03, Vol.24 (3), p.348-352
Hauptverfasser: Çakalli, H., Khan, M.K.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis in abstract spaces
Numerical analysis. Scientific computation
Sciences and techniques of general use
Sequences
Sequences, series, summability
Series
Summability
Tauberian theorems
Theorems
Topological spaces
Topology
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Zusammenfassung:The main purpose of the paper is to introduce the notion of summability in abstract Hausdorff topological spaces. We give a characterization of such summability methods when the space allows a countable base. We also provide several Tauberian theorems in topological structures. Some open problems are discussed.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2010.10.021